Numerical modular symbols for elliptic curves

Wuthrich, Christian

Abstract

We present a detailed analysis of how to implement the computation of modular symbols for a given elliptic curve by using numerical approximations. This method turns out to be more effcient than current implementations as the conductor of the curve increases.

Citation

Wuthrich, C. (2018). Numerical modular symbols for elliptic curves. Mathematics of Computation, 87(313), 2393-2423. https://doi.org/10.1090/mcom/3274

• Journal Article Type: Article
• Acceptance Date: Mar 23, 2017
• Online Publication Date: Nov 2, 2017
• Publication Date: May 30, 2018
• Deposit Date: Mar 24, 2017
• Publicly Available Date: Nov 2, 2017
• Journal: Mathematics of Computation
• Print ISSN: 0025-5718
• Electronic ISSN: 1088-6842
• Publisher: American Mathematical Society
• Peer Reviewed: Peer Reviewed
• Volume: 87
• Issue: 313
• Pages: 2393-2423
• DOI: https://doi.org/10.1090/mcom/3274
• Public URL: https://nottingham-repository.worktribe.com/output/851829
• Additional Information: First published in Mathematics of Computation in vol. 87, no. 313, 2018, published by the American Mathematical Society
• Contract Date: Mar 24, 2017